Question

Explain the closure property as it relates to polynomials.

Answer 1

Place help

Answer 2

I think the closure property simply means that any operation you perform on two polynomials will produce another polynomial as an answer.
So, adding two polynomials you get a polynomial
Multiplying two polynomials, you get a polynomial
and so on for multiplication and division

Answer 3

At least, that's how the closure property works for sets like real numbers and integers, so I think the same logic applies for polynomials